CAIE S1 2018 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2018
SessionJune
TopicDiscrete Probability Distributions
TypeConstruct probability distribution from scenario
4 Mrs Rupal chooses 3 animals at random from 5 dogs and 2 cats. The random variable \(X\) is the number of cats chosen.
  1. Draw up the probability distribution table for \(X\).
  2. You are given that \(\mathrm { E } ( X ) = \frac { 6 } { 7 }\). Find the value of \(\operatorname { Var } ( X )\).
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